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Finding the Fourth Proportional to 12,720.68, 17,536.10 and 8,932.31

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Solution

The fourth proportional to 12,720.68, 17,536.10 and 8,932.31 is: 12,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.68 : 17,536.10 = 8,932.31 : x
  2. Step 2: Convert to fraction form
    12,720.68/17,536.10 = 8,932.31/x
  3. Step 3: Cross multiply
    12,720.68x = 17,536.10 × 8,932.31
  4. Step 4: Simplify right side
    12,720.68x = 156,637,749.05
  5. Step 5: Solve for x
    x = 156,637,749.05/12,720.68
  6. Step 6: Final answer
    x = 12,313.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.